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CivilComp Proceedings
ISSN 17593433 CCP: 102
PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by:
Paper 99
On the Postbuckling Behaviour of Thin Walled Beams with InPlane Deformable CrossSections S. Gabriele, N. Rizzi and V. Varano
LaMS Modelling and Simulation Laboratory, Department of Structures
S. Gabriele, N. Rizzi, V. Varano, "On the Postbuckling Behaviour of Thin Walled Beams with InPlane Deformable CrossSections", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", CivilComp Press, Stirlingshire, UK, Paper 99, 2013. doi:10.4203/ccp.102.99
Keywords: nonlinear elasticity, kinematically exact plate theory.
Summary
In this paper a procedure for obtaining a beam model from a thin plate theory, is
introduced. The starting point is the theory proposed by Koiter which describes the
deformation of the plate in a kinematically exact way. By assuming some fair constraints
on the plate motion, its deformation measures can be described by means of
four scalar parameters that are a measure of the elongation, two bending terms and
the torsion of a 1D continuum. Given that the plate is thin and made up of a material
that is isotropic elastic and linear in the 2D finite strains, its strain energy is written
in terms of the 1D strains. The resulting function is then given a power expansion.
Taking the derivative of this expression with respect to the 1D strain measures, the
constitutive functions of the corresponding stress measures are obtained. Some samples
show how the procedure can be used to study the mechanical behaviour of TWBs
with open cross sections.
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